Rings, Modules, and Closure Operations
Başlık:
Rings, Modules, and Closure Operations
Yazar:
Elliott, Jesse. author.
ISBN:
9783030244019
Yazar:
Edisyon:
1st ed. 2019.
Fiziksel Niteleme:
XXIV, 490 p. 163 illus. online resource.
Seri:
Springer Monographs in Mathematics,
İçindekiler:
Preface -- 0. Preliminaries -- 1. Introductory survey of multiplicative ideal theory -- 2. Semistar operations on commutative rings -- 3. Semistar operations on commutative rings: local methods -- 4. Extensions of commutative rings -- 5. Semiprime, star, and semistar operations on commutative rings -- 6. Closure operations on submodules over noncommutative rings -- 7. Appendix on Clusure operations and nuclei -- Bibliography -- Index.
Özet:
This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
Ek Kurum Yazar:
Elektronik Erişim:
https://doi.org/10.1007/978-3-030-24401-9